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Article
Open AccessOn the Formulation of Mass, Momentum and Energy Conservation in the KdV Equation
The Korteweg-de Vries (KdV) equation is widely recognized as a simple model for unidirectional weakly nonlinear dispersive waves on the surface of a shallow body of fluid. While solutions of the KdV equation d...
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Article
Numerical simulation of flow and aquaculture organic waste dispersion in a curved channel
The dispersion and deposition of particulate organic matter from a fish cage located in an idealized curved channel with a 90° bend are studied for different horizontal grid resolutions. The model system consi...
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Article
A dispersive model for undular bores
In this article, consideration is given to weak bores in free-surface flows. The energy loss in the shallow-water theory for an undular bore is thought to be due to upstream oscillations that carry away the en...
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Article
Open AccessMechanical Balance Laws for Boussinesq Models of Surface Water Waves
Depth-integrated long-wave models, such as the shallow-water and Boussinesq equations, are standard fare in the study of small amplitude surface waves in shallow water. While the shallow-water theory features ...
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Article
Open AccessNumerical modelling of organic waste dispersion from fjord located fish farms
In this study, a three-dimensional particle tracking model coupled to a terrain following ocean model is used to investigate the dispersion and the deposition of fish farm particulate matter (uneaten food and ...
